The unit ball of Ls(2d*(1, w) 2)

Sung Guen Kim

doi:10.5666/KMJ.2013.53.2.295

The unit ball of L_s(²d_*(1, w) ²)

Sung Guen Kim

Research output: Contribution to journal › Article › peer-review

24 Scopus citations

Abstract

First we present the explicit formula for the norm of a symmetric bilinear form on the 2-dimensional real predual of the Lorentz sequence space d _*(1, w)². Using this formula, we classify the extreme points of the unit ball of L_s(²d _*(1, w)²).

Original language	English
Pages (from-to)	296-306
Number of pages	11
Journal	Kyungpook Mathematical Journal
Volume	53
Issue number	2
DOIs	https://doi.org/10.5666/KMJ.2013.53.2.295
State	Published - Jun 2013

Keywords

Extreme symmetric bilinear forms
The 2-dimensional real predual of the Lorentz sequence space

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10.5666/KMJ.2013.53.2.295

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abstract = "First we present the explicit formula for the norm of a symmetric bilinear form on the 2-dimensional real predual of the Lorentz sequence space d *(1, w)2. Using this formula, we classify the extreme points of the unit ball of Ls(2d *(1, w)2).",

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AB - First we present the explicit formula for the norm of a symmetric bilinear form on the 2-dimensional real predual of the Lorentz sequence space d *(1, w)2. Using this formula, we classify the extreme points of the unit ball of Ls(2d *(1, w)2).

KW - Extreme symmetric bilinear forms

KW - The 2-dimensional real predual of the Lorentz sequence space

UR - https://www.scopus.com/pages/publications/84886883684

U2 - 10.5666/KMJ.2013.53.2.295

DO - 10.5666/KMJ.2013.53.2.295

M3 - Article

AN - SCOPUS:84886883684

SN - 1225-6951

VL - 53

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EP - 306

JO - Kyungpook Mathematical Journal

JF - Kyungpook Mathematical Journal

IS - 2

ER -

The unit ball of L_s(²d_*(1, w) ²)

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